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Finding the Third Proportional to 48,882 and 93,876

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Solution

The third proportional to 48,882 and 93,876 is: 180,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,882 : 93,876 = 93,876 : x
  2. Step 2: Convert to fraction form
    48,882/93,876 = 93,876/x
  3. Step 3: Cross multiply
    48,882x = 93,876 × 93,876
  4. Step 4: Simplify right side
    48,882x = 8,812,703,376
  5. Step 5: Solve for x
    x = 8,812,703,376/48,882
  6. Step 6: Final answer
    x = 180,285.25

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.